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Finding the Fourth Proportional to 113.27, 155.14 and 106.62

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Solution

The fourth proportional to 113.27, 155.14 and 106.62 is: 146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.27 : 155.14 = 106.62 : x
  2. Step 2: Convert to fraction form
    113.27/155.14 = 106.62/x
  3. Step 3: Cross multiply
    113.27x = 155.14 × 106.62
  4. Step 4: Simplify right side
    113.27x = 16,539.95
  5. Step 5: Solve for x
    x = 16,539.95/113.27
  6. Step 6: Final answer
    x = 146.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.